"Cellular Automorphisms and Self-Duality" by Lowell Abrams

Selected Works of Dan Slilaty

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Cellular Automorphisms and Self-Duality

Transactions of the American Mathematical Society

Lowell Abrams
Dan Slilaty, Wright State University - Main Campus

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Document Type

Article

Publication Date

11-1-2015

Disciplines

Applied Mathematics,
Applied Statistics,
Mathematics,
Physical Sciences and Mathematics and
Statistics and Probability

Abstract

We catalog up to a type of reducibility all cellular automorphisms of the sphere, projective plane, torus, Klein bottle, and three-crosscaps (Dyck's) surface. We also show how one can obtain all self-dual embeddings in a surface S given a catalog of all irreducible cellular automorphisms in S.

DOI

10.1090/tran/6258

Citation Information

Lowell Abrams and Dan Slilaty. "Cellular Automorphisms and Self-Duality" Transactions of the American Mathematical Society Vol. 387 Iss. 11 (2015) p. 7695 - 7773 ISSN: 00029947
Available at: http://works.bepress.com/dan_slilaty/4/